TY - JOUR
AU - T. A. Agoshkova
PY - 2013/10/25
Y2 - 2023/11/29
TI - Approximation of Periodic Functions of Many Variables in Metric Spaces by Piecewise-Constant Functions
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 65
IS - 10
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2510
AB - We prove the direct and inverse Jackson- and Bernstein-type theorems for averaged approximations of periodic functions of many variables by piecewise-constant functions with uniform partition of the period torus in metric spaces with integral metric given by a function ψ of the type of modulus of continuity.
ER -